The flow of a liquid film down an inclined plane wall is investigated. The flow structures are analyzed using three different models, namely, the generalized Kuramoto-Sivashinsky model, the long-wave model, and the Stokes equations for zero Reynolds number flow. The performance of each model will be discussed. Besides, a numerical continuation method is developed to explore solutions of evolution equations that allows us to track branches of travelling-wave solutions as well as solutions that are time-periodic in a frame of reference travelling at a constant speed. Finally, we show recent development in constructing the single pulse solutions using matched asymptotic expansions.